Pre-AP Algebra Test-- 9.14.10

26 terms · For the Pre-AP Algebra Test (on 9.14.10): Only includes number properties and number types.

Commutative

Order of numbers/terms changes, but answer does not.

Associative

Groups of parenthesis changes, but the order stays the same.

Distributive

Problem starts with parenthesis, but after equal sign has none.

Identity

Value does not change when multiplied by one, or when zero is added to it.

Inverse

Answer to the problem is always one or zero.

Multiplicative Property of Zero

Answer to the problem is always zero.

Reflexive

A number is equal to itself.

Symmetric

If a=b, then b=a; Flips over equal sign

Transitive

If a=b, and b=c, then a=c

Substitution

Something is replaced in the equation that equals the same amount.

1,2,3, etc

0,1,2,3, etc

-3,-2,-1,0,1,2,3

Rational numbers

Any number that can be written as a fraction

Irrational numbers

Non-repeating, non-ending decimals

Reals

All numbers so far

x+9 = 9+x

2(x+3) = 2x+6

Associative

(2+5)+4 = 2+(5+4)

-11*1 = -11

-8+8 = 0

8*0 = 0

2 = 2

a=b, b=a

a=b, b=c, a=c

(3+4)+5; 7+5